{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R7EX24TL2TYJY7E2CXQHNMVUWX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b819c6159fcbd5fb6ae0f2fe453bf2aa6550ed7cf83159d53bca2cdb15342005","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-10-03T09:37:21Z","title_canon_sha256":"d63a5a6007224db6fa3f8890ff8f988440dacda43f0f3fed588d31c7c2d304e4"},"schema_version":"1.0","source":{"id":"1410.1507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1507","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1507v1","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1507","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"R7EX24TL2TYJ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R7EX24TL2TYJY7E2","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R7EX24TL","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:a1abd7a911de77dc07a69b74fffa955eff7f3505d886fda1b870c575f1f5ca75","target":"graph","created_at":"2026-05-18T01:41:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Different omnidirectional refractive devices for flexural waves in thin plates are proposed and numerically analyzed. Their realization is explained by means phononic crystal plates, where a previously developed homogenization theory is employed for the design of graded index refractive devices. These devices consist of a circular cluster of inclusions with properly designed gradient in their radius. With this approach, the Luneburg and Maxwell lenses and a family of beam splitters for flexural waves are proposed and analyzed. Results show that these devices work properly in a broadband freque","authors_text":"Bahram Djafari-Rouhani, Daniel Torrent, Yan Pennec","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-10-03T09:37:21Z","title":"Omnidirectional refractive devices for flexural waves based on graded phononic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1507","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c7652c3b1a50d104fb2c9c2ee9208cdb127a8fbff12e2e568929b34c1ac90ace","target":"record","created_at":"2026-05-18T01:41:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b819c6159fcbd5fb6ae0f2fe453bf2aa6550ed7cf83159d53bca2cdb15342005","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-10-03T09:37:21Z","title_canon_sha256":"d63a5a6007224db6fa3f8890ff8f988440dacda43f0f3fed588d31c7c2d304e4"},"schema_version":"1.0","source":{"id":"1410.1507","kind":"arxiv","version":1}},"canonical_sha256":"8fc97d726bd4f09c7c9a15e076b2b4b5daa0381e9576a4b426328acd3e7f425a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fc97d726bd4f09c7c9a15e076b2b4b5daa0381e9576a4b426328acd3e7f425a","first_computed_at":"2026-05-18T01:41:52.068716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:52.068716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MEAi/d64W0rBsZe0TEq5ST3nrUYczEExFy45TJDBA/VN3v14QY8fuemWRrFoF/so9uq9X0ev3qZgYb//zzR+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:52.069369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7652c3b1a50d104fb2c9c2ee9208cdb127a8fbff12e2e568929b34c1ac90ace","sha256:a1abd7a911de77dc07a69b74fffa955eff7f3505d886fda1b870c575f1f5ca75"],"state_sha256":"60b0ccd8999dc503e83d5ffdd5a8b7f843b8919704c2000d22a4c980d877d9df"}